Answer :

Since, f’(x) > 0 on (a,b)

Then, f is a differentiating function (a,b)


Also, every differentiable function is continuous,


Therefore, f is continuous on [a,b]


Let x1, x2 ϵ (a,b) and x2 > x1 then by LMV theorem, there exists c ϵ (a,b) s.t.


f’(c) =






Therefore, f is an increasing function.


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